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Finding the Fourth Proportional to 205,988.76, 308,905.38 and 95,103

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Solution

The fourth proportional to 205,988.76, 308,905.38 and 95,103 is: 142,618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,988.76 : 308,905.38 = 95,103 : x
  2. Step 2: Convert to fraction form
    205,988.76/308,905.38 = 95,103/x
  3. Step 3: Cross multiply
    205,988.76x = 308,905.38 × 95,103
  4. Step 4: Simplify right side
    205,988.76x = 29,377,828,354.14
  5. Step 5: Solve for x
    x = 29,377,828,354.14/205,988.76
  6. Step 6: Final answer
    x = 142,618.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.